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Finding the Fourth Proportional to 3,580.42, 5,369.96 and 982.76

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Solution

The fourth proportional to 3,580.42, 5,369.96 and 982.76 is: 1,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.42 : 5,369.96 = 982.76 : x
  2. Step 2: Convert to fraction form
    3,580.42/5,369.96 = 982.76/x
  3. Step 3: Cross multiply
    3,580.42x = 5,369.96 × 982.76
  4. Step 4: Simplify right side
    3,580.42x = 5,277,381.89
  5. Step 5: Solve for x
    x = 5,277,381.89/3,580.42
  6. Step 6: Final answer
    x = 1,473.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.